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Finding the Fourth Proportional to 186.17, 256.84 and 120.69

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Solution

The fourth proportional to 186.17, 256.84 and 120.69 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 256.84 = 120.69 : x
  2. Step 2: Convert to fraction form
    186.17/256.84 = 120.69/x
  3. Step 3: Cross multiply
    186.17x = 256.84 × 120.69
  4. Step 4: Simplify right side
    186.17x = 30,997.72
  5. Step 5: Solve for x
    x = 30,997.72/186.17
  6. Step 6: Final answer
    x = 166.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.